Directions In Number Theory

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Directions in Number Theory

Ellen E. Eischen,Ling Long,Rachel Pries,Katherine E. Stange
Directions in Number Theory Book PDF

Author : Ellen E. Eischen,Ling Long,Rachel Pries,Katherine E. Stange
Publisher : Springer
Page : 339 pages
File Size : 53,6 Mb
Release : 2016-09-26
Category : Mathematics
ISBN : 9783319309767

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Directions in Number Theory by Ellen E. Eischen,Ling Long,Rachel Pries,Katherine E. Stange Pdf

Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography. The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.

Research Directions in Number Theory

Jennifer S. Balakrishnan,Amanda Folsom,Matilde Lalín,Michelle Manes
Research Directions in Number Theory Book PDF

Author : Jennifer S. Balakrishnan,Amanda Folsom,Matilde Lalín,Michelle Manes
Publisher : Springer
Page : 195 pages
File Size : 43,5 Mb
Release : 2019-08-01
Category : Mathematics
ISBN : 9783030194789

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Research Directions in Number Theory by Jennifer S. Balakrishnan,Amanda Folsom,Matilde Lalín,Michelle Manes Pdf

These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.

Women in Numbers Europe

Marie José Bertin,Alina Bucur,Brooke Feigon,Leila Schneps
Women in Numbers Europe Book PDF

Author : Marie José Bertin,Alina Bucur,Brooke Feigon,Leila Schneps
Publisher : Springer
Page : 205 pages
File Size : 54,7 Mb
Release : 2015-09-22
Category : Mathematics
ISBN : 9783319179872

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Women in Numbers Europe by Marie José Bertin,Alina Bucur,Brooke Feigon,Leila Schneps Pdf

Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conference center in France. While containing contributions covering a wide range of cutting-edge topics in number theory, the volume emphasizes those concrete approaches that make it possible for graduate students and postdocs to begin work immediately on research problems even in highly complex subjects.

Women in Numbers Europe III

Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García
Women in Numbers Europe III Book PDF

Author : Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García
Publisher : Springer Nature
Page : 334 pages
File Size : 41,9 Mb
Release : 2022-02-01
Category : Mathematics
ISBN : 9783030777005

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Women in Numbers Europe III by Alina Carmen Cojocaru,Sorina Ionica,Elisa Lorenzo García Pdf

This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of collaborations started at the 3rd edition of the Women in Numbers Europe (WINE) conference between senior and mid-level faculty, junior faculty, postdocs, and graduate students. The contents of this book should be of interest to graduate students and researchers in number theory.

A Brief Guide to Algebraic Number Theory

H. P. F. Swinnerton-Dyer
A Brief Guide to Algebraic Number Theory Book PDF

Author : H. P. F. Swinnerton-Dyer
Publisher : Cambridge University Press
Page : 164 pages
File Size : 50,8 Mb
Release : 2001-02-22
Category : Mathematics
ISBN : 0521004233

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A Brief Guide to Algebraic Number Theory by H. P. F. Swinnerton-Dyer Pdf

Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.

Advances In Number Theory And Applied Analysis

Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam
Advances In Number Theory And Applied Analysis Book PDF

Author : Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam
Publisher : World Scientific
Page : 463 pages
File Size : 55,6 Mb
Release : 2023-05-08
Category : Mathematics
ISBN : 9789811272615

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Advances In Number Theory And Applied Analysis by Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam Pdf

Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.

Number Theory for the Millennium II

Michael A. Bennett
Number Theory for the Millennium II Book PDF

Author : Michael A. Bennett
Publisher : A K Peters, Ltd.
Page : 482 pages
File Size : 53,9 Mb
Release : 2002-05-09
Category : Mathematics
ISBN : 1568811462

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Number Theory for the Millennium II by Michael A. Bennett Pdf

Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

Win-- Women in Numbers

Anonim
Win Women in Numbers Book PDF

Author : Anonim
Publisher : Unknown
Page : 288 pages
File Size : 41,9 Mb
Release : 2011
Category : Arithmetical algebraic geometry
ISBN : 1470417812

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Win-- Women in Numbers by Anonim Pdf

"The contributions in this volume span a wide range of topics in arithmetic geometry and algebraic, algorithmic, and analytic number theory. Clusters of papers center around the four topics of moduli spaces and Shimura curves, curves and Jacobians over finite fields, Galois covers of function fields in positive characteristic, and zeta functions of graphs, with a fifth group of three individual articles on modular forms, Iwasawa theory, and Galois representations, respectively."--Publisher.

Research Directions in Number Theory

Alina Bucur,Wei Ho,Renate Scheidler
Research Directions in Number Theory Book PDF

Author : Alina Bucur,Wei Ho,Renate Scheidler
Publisher : Springer
Page : 0 pages
File Size : 51,6 Mb
Release : 2024-04-20
Category : Mathematics
ISBN : 3031516761

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Research Directions in Number Theory by Alina Bucur,Wei Ho,Renate Scheidler Pdf

This is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields. The volume contains research articles in the mathematical area of number theory, written by teams of scholars at all levels in the field. More information about the network, its goals and purpose, past and future conferences, and past proceedings volumes, can be found on the WIN website. This volume contains research outcomes and results produced by the collaborative research groups created under the Women in Numbers V workshop, the 5th in its series. The actual workshop was to take place in 2020 at the Banff International Research Station in Banff, Canada, but could not take place onsite due to COVID. The associated research groups, each consisting of 1-2 leaders and 2-4 junior researchers, were formed nevertheless and their collaborations went ahead in purely virtual form, as well as other papers by author teams for which at least 50% of the authors identify as women or gender minorities. These contributions include original research and survey articles in a wide variety of subareas within number theory. The former present new cutting-edge research that will be of interest to experts in the field, to the benefit of their own research. The survey articles serve as an accessible introduction for graduate students and other readers to areas of number theory that may be outside their area of expertise.

Number Theory Revealed: An Introduction

Andrew Granville
Number Theory Revealed An Introduction Book PDF

Author : Andrew Granville
Publisher : American Mathematical Soc.
Page : 264 pages
File Size : 52,8 Mb
Release : 2019-11-12
Category : Education
ISBN : 9781470441579

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Number Theory Revealed: An Introduction by Andrew Granville Pdf

Number Theory Revealed: An Introduction acquaints undergraduates with the “Queen of Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod p p and modern twists on traditional questions like the values represented by binary quadratic forms and large solutions of equations. Each chapter includes an “elective appendix” with additional reading, projects, and references. An expanded edition, Number Theory Revealed: A Masterclass, offers a more comprehensive approach to these core topics and adds additional material in further chapters and appendices, allowing instructors to create an individualized course tailored to their own (and their students') interests.

Number Theory for the Millennium III

M.A. Bennett,Bruce Berndt,N. Boston,A.J. Hildebrand,H.G. Diamond,W. Philipp
Number Theory for the Millennium III Book PDF

Author : M.A. Bennett,Bruce Berndt,N. Boston,A.J. Hildebrand,H.G. Diamond,W. Philipp
Publisher : CRC Press
Page : 458 pages
File Size : 47,6 Mb
Release : 2023-03-17
Category : Mathematics
ISBN : 9780429611414

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Number Theory for the Millennium III by M.A. Bennett,Bruce Berndt,N. Boston,A.J. Hildebrand,H.G. Diamond,W. Philipp Pdf

Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

Women in Numbers 2

Chantal David,Matilde Lalín, Michelle Manes
Women in Numbers 2 Book PDF

Author : Chantal David,Matilde Lalín, Michelle Manes
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 54,6 Mb
Release : 2013-12-10
Category : Mathematics
ISBN : 9781470410223

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Women in Numbers 2 by Chantal David,Matilde Lalín, Michelle Manes Pdf

The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During the workshop, group leaders presented open problems in various areas of number theory, and working groups tackled those problems in collaborations begun at the workshop and continuing long after. This volume collects articles written by participants of WIN2. Survey papers written by project leaders are designed to introduce areas of active research in number theory to advanced graduate students and recent PhDs. Original research articles by the project groups detail their work on the open problems tackled during and after WIN2. Other articles in this volume contain new research on related topics by women number theorists. The articles collected here encompass a wide range of topics in number theory including Galois representations, the Tamagawa number conjecture, arithmetic intersection formulas, Mahler measures, Newton polygons, the Dwork family, elliptic curves, cryptography, and supercongruences. WIN2 and this Proceedings volume are part of the Women in Numbers network, aimed at increasing the visibility of women researchers' contributions to number theory and at increasing the participation of women mathematicians in number theory and related fields. This book is co-published with the Centre de Recherches Mathématiques.

The Unreasonable Effectiveness of Number Theory

Stefan Andrus Burr,George E. Andrews
The Unreasonable Effectiveness of Number Theory Book PDF

Author : Stefan Andrus Burr,George E. Andrews
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 48,8 Mb
Release : 1992
Category : Mathematics
ISBN : 0821855018

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The Unreasonable Effectiveness of Number Theory by Stefan Andrus Burr,George E. Andrews Pdf

"Number theory is one of the oldest and noblest branches of mathematics; indeed, it was already ancient in the time of Euclid...for almost all of its history it has seemed to be among the purest branches of mathematics. It is only within the last few decades that a large number of applications have been encountered, at least by the mathematical community. The applications to cryptology are now famous; but it is not as well known that number theory has found an enormous number and variety of real-world applications in many different fields." - From the Preface This book is based on the AMS Short Course, The Unreasonable Effectiveness of Number Theory, held in Orono, Maine, in August 1991. This Short Course provided some views into the great breadth of application of number theory outside cryptology and highlighted the power and applicability of number-theoretic ideas. Because number theory is one of the most accessible areas of mathematics, this book will appeal to a general mathematical audience as well as to researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics. All of the chapters are written by leading specialists in number theory and provides excellent introduction to various applications.

Advances in the Theory of Numbers

Ayşe Alaca,Şaban Alaca,Kenneth S. Williams
Advances in the Theory of Numbers Book PDF

Author : Ayşe Alaca,Şaban Alaca,Kenneth S. Williams
Publisher : Springer
Page : 235 pages
File Size : 43,9 Mb
Release : 2015-10-28
Category : Mathematics
ISBN : 9781493932016

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Advances in the Theory of Numbers by Ayşe Alaca,Şaban Alaca,Kenneth S. Williams Pdf

The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates the high level of difficulty of problems encountered in number-theoretic research as well as the usefulness of the new ideas arising from its proof. The thirteenth conference of the Canadian Number Theory Association was held at Carleton University, Ottawa, Ontario, Canada from June 16 to 20, 2014. Ninety-nine talks were presented at the conference on the theme of advances in the theory of numbers. Topics of the talks reflected the diversity of current trends and activities in modern number theory. These topics included modular forms, hypergeometric functions, elliptic curves, distribution of prime numbers, diophantine equations, L-functions, Diophantine approximation, and many more. This volume contains some of the papers presented at the conference. All papers were refereed. The high quality of the articles and their contribution to current research directions make this volume a must for any mathematics library and is particularly relevant to researchers and graduate students with an interest in number theory. The editors hope that this volume will serve as both a resource and an inspiration to future generations of researchers in the theory of numbers.

New Frontiers in Number Theory and Applications

Jordi Guàrdia,Nicuşor Minculete,Diana Savin,Montserrat Vela,Abdelkader Zekhnini
New Frontiers in Number Theory and Applications Book PDF

Author : Jordi Guàrdia,Nicuşor Minculete,Diana Savin,Montserrat Vela,Abdelkader Zekhnini
Publisher : Birkhäuser
Page : 0 pages
File Size : 48,5 Mb
Release : 2024-04-04
Category : Mathematics
ISBN : 3031519582

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New Frontiers in Number Theory and Applications by Jordi Guàrdia,Nicuşor Minculete,Diana Savin,Montserrat Vela,Abdelkader Zekhnini Pdf

This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering authors from over seven countries, readers will gain an international perspective on the current state of research as well as potential avenues to explore. Specific topics covered include: Algebraic Number Theory Elliptic curves and Cryptography Hopf Galois theory Analytic and elementary number theory and applications New Frontiers in Number Theory and Applications will appeal to researchers interested in gaining a global view of current research in number theory.